2824806440 has 64 divisors (see below), whose sum is σ = 6552610560. Its totient is φ = 1095171840.

The previous prime is 2824806427. The next prime is 2824806493. The reversal of 2824806440 is 446084282.

It is a junction number, because it is equal to n+sod(n) for n = 2824806394 and 2824806403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397559 + ... + 404601.

It is an arithmetic number, because the mean of its divisors is an integer number (102384540).

Almost surely, 2^2824806440 is an apocalyptic number.

2824806440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824806440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276305280).

2824806440 is an abundant number, since it is smaller than the sum of its proper divisors (3727804120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2824806440 is a wasteful number, since it uses less digits than its factorization.

2824806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7362 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 2824806440 is about 53148.9081731695. The cubic root of 2824806440 is about 1413.6098572400.

The spelling of 2824806440 in words is "two billion, eight hundred twenty-four million, eight hundred six thousand, four hundred forty".